Search a number
-
+
222379740 = 2232511313623
BaseRepresentation
bin11010100000100…
…11111011011100
3120111110001122200
431100103323130
5423412122430
634022211500
75340124302
oct1520237334
9514401580
10222379740
11104589210
1262583b90
13370c195b
142176a272
15147ca460
hexd413edc

222379740 has 144 divisors (see below), whose sum is σ = 759822336. Its totient is φ = 52156800.

The previous prime is 222379727. The next prime is 222379741. The reversal of 222379740 is 47973222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222379695 and 222379704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222379741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59569 + ... + 63191.

It is an arithmetic number, because the mean of its divisors is an integer number (5276544).

Almost surely, 2222379740 is an apocalyptic number.

222379740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222379740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379911168).

222379740 is an abundant number, since it is smaller than the sum of its proper divisors (537442596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222379740 is a wasteful number, since it uses less digits than its factorization.

222379740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 222379740 is about 14912.4022209703. The cubic root of 222379740 is about 605.8499448750.

The spelling of 222379740 in words is "two hundred twenty-two million, three hundred seventy-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 3623 4092 5115 5580 6138 6820 7246 10230 10869 12276 14492 15345 18115 20460 21738 30690 32607 36230 39853 43476 54345 61380 65214 72460 79706 108690 112313 119559 130428 159412 163035 199265 217380 224626 239118 326070 336939 358677 398530 449252 478236 561565 597795 652140 673878 717354 797060 1010817 1123130 1195590 1235443 1347756 1434708 1684695 1793385 2021634 2246260 2391180 2470886 3369390 3586770 3706329 4043268 4941772 5054085 6177215 6738780 7173540 7412658 10108170 11118987 12354430 14825316 18531645 20216340 22237974 24708860 37063290 44475948 55594935 74126580 111189870 222379740